JEE Main & Advanced Mathematics Sets Question Bank Self Evaluation Test - Sets

  • question_answer
    Two finite sets have m and n elements, the total number of subsets of the first set is 56 more than the total number of subsets of the second set. Then:

    A) \[m=3,n=6\]                 

    B) \[m=6,n=3\]

    C) \[m=5,n=6\]                 

    D) None of these

    Correct Answer: B

    Solution :

    \[{{2}^{m}}={{2}^{n}}+56\] \[\Rightarrow {{2}^{m}}-{{2}^{n}}=64-8={{2}^{6}}-{{2}^{3}}\]


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